#help-10
1 messages · Page 309 of 1
@timid silo Has your question been resolved?
so ur saying u worked out i got 26+/- 4root39 without a calculator?
@timid silo I can help if you would like
I agree with you that the roots using the quadratic formula are $x = 26 \pm 4\sqrt{39}$
As decimal numbers I got about 1.02 and 50.98
So the smallest integer is in the neighborhood of 1
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Hi I have a question about choosing the U-substitution for Calc 2
here is my attempt to the question by choosing ln(w) for my u
but the final answer has a negative which I do not where it comes from
Chain rule
:D
Yes
If you write down the chain rule
Then isolate f(x) instead of f'(x)
Youll see it
(it also may make it a tiny bit neater, though not anywhere near essential, if you chose u = 1 - ln(w) instead!)
@red cipher Has your question been resolved?
The point of u-substitution is that it unwinds the chain rule where we write the integral in terms of its composition thereby making it easier to solve for the antiderivative.
Also don’t forget the +C
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Set theory... I need to prove this, but I have no idea where to even start. I have tried using venn diagram but got stuck almost immediately. If anyone could help, that would be amazing!
How would you usually start a proof to show two sets are equal?
@jolly swift Has your question been resolved?
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after solving for the hypotenuse i got √45, which i simplified down to 3√5
but in the answers, the hypotenuse is listed as 5
and for some reason, the a and b are wrong to
in the question it seems like angle A is opposite to 6
but sinA lists the opposite as 2√5
i think, rather than them saying the hypotenuse is 5, they just rationalized the denominator
try rationalizing 6/(3√5) and see if you get the same thing they got
alright
there is no way that the hypotenuse of that triangle is 5, even when 3sqrt(5) is rationalized you will bet 15/sqrt(5) which is clearly not 5
6 is the side opposite angle A
6 is the length
ah right right
even when 3sqrt(5) is rationalized you will bet 15/sqrt(5)
no you will not
try again
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Hey I was just wondering how I would complete this? This makes absolutely no sense to me and I kind of need help please and thank you.
So I started with CSC and I noticed that if you put the opposite it would be two over 1 which would make it two.
So then I went on to the next problem part B and I noticed that it was 60 degrees and not 30 degrees so I put the two in front of the square root of 3 over 3.
And I don't really understand how COT 60 degrees is equal to the square root of three over 3?
Sorry for my late response, the cosine of 30 degrees is the square root of three over 3
But can you find like cos 60 and sin 60?
Also do you have any tips of how I could remember almost everything on that sheet paper?
Given the question not sure you are allowed to use unit circle
Well technically we're supposed to have this remembered by now but it's only been three days since I've learned about this and I don't know how that's possible
Okay so the cosine for 60* is 1/2 and the sine of 60* is the square root of 3/2.
Yes and cot is cos/sin iirc
irc?
If I remember correctly
What's cos60/sin60?
1/2, square root of 3/2
I got the sqrt of 3 over 3.
@glossy trail Has your question been resolved?
why’d u say it’s not resolved
@glossy trail Has your question been resolved?
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Hello
@fiery ingot Has your question been resolved?
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im hitting a wall with a big (O) problem. i have the following expansions
\begin{align*}
f(\tilde{t}) &= \left(\sum_{n=0}^N f_n(t)\varepsilon^n\right) + O(\varepsilon^{N+1}),\ 0 < \varepsilon << 1,\ \tilde{t} = \varepsilon t\
x(\hat{t},\tilde{t}) &=\left(\sum_{n=0}^Nx_n(\hat{t},\tilde{t})\varepsilon^n\right) + O(\varepsilon^{N+1}),\ \hat{t} = \int_0^t f(\tilde{\varepsilon t}), d\tau
\end{align*}
and we use them to compute approximations of the following pde
[
f^2\pdv{^2x}{\hat{t}^2} + 2f\varepsilon\pdv{^2x}{\hat{t}\partial\tilde{t}} + f'\varepsilon\pdv{x}{\hat{t}}+\varepsilon^2\pdv{^2x}{\tilde{t}^2}+f_0^2x = 0
]
i didnt know you could use brackets like this for latex. 
[ ]
maximo
ok this should be the proper setup
now i computed the O(epsilon) approximation to this, in two different ways
and they give different approximations
one way, as suggested by the paper im going off of, is to divide by f^2 and then apply the binomial theorem
this essentially gives you that the final term becomes
[
\frac{f_0^2}{f^2}x \approx f_0^2\frac{x_0 + \varepsilon x_1}{f_0 + \varepsilon f_1} \approx
f_0^2\frac{1}{f_0^2}(1 - 2 \frac{\varepsilon f_1}{f_0})(x_0 + \varepsilon x_1)
]
maximo
so we just "lost" the eps * x_0 term?
maximo
which is very similar, but completely changes the process by which we approximate the solution to the pde. im not sure if something is going wrong, or if im "required" to divide by f^2
wait
oh im such an idiot
the O(1) term gives us that (\pdv{^2x_0}{\hat{t}^2} + x_0 = 0), so the expressions are the same
kill me
maximo
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hi
doing calc 2 integrals
what should I do when I run into the problem when there is still an x variable under my du (red box)
i mean whats causing this to not work out perfectly by cancelling everything out
Ideally, this would not happen. However, you have a relation between u and x, so you can rewrite e^-x in terms of u
am i suppose to try a different value for U? or idk
oh i see ok let me try that
so
after rewritin that x term ill just combine it with u^3 and the take the antiderivative?
In this case, it is definitely a better choice to do u = e^x
That might not seem obvious though
yep, an unfortunate expansion upcoming but then basic product rule
haha ok
@red cipher Has your question been resolved?
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I need help with my geomotry hw i need to solve for x but i dont know how to set up the problem , its in a triangle
well show us your problem
What do you mean
180
yes exactly
So A. Is x=-7
you mean #89?
Yeah
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@azure wren yes, #89 is x=-7.
Alright thanks i understand now
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<@&286206848099549185>
!15m
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anyways, start by trying to get rid of the log_1/2 first, how would you go about doing that?
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Mycobacterium
No
And the derivative is simply 1/sqrt(1 + u^2) because it is the derivative of the antiderivatibe of 1/sqrt(1 + u^2)
So it cancels out
You can basically strike a line through the integral
Mycobacterium
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Need some help with this one, answers ain't matching
How should I proceed 🤔
<@&286206848099549185>
porbably 11th grade
yeah thought so
however, i am in class 9 so i am not properly sure how to solve this one...
but ill try
yeah, cant..... guss ill have to do limts all over again
It's technically not a limit question tho.... Like I'm trying to find 1/Tr right now
A good expression for it
I got an answer but apparently not matching 🤦♂ that's why looking for some help
The second part is done
First part is being a little annoying
@fierce lagoon
oh
?
.
wait i am trying to get 1 somehow
I tried a bunch... Ain't happening
I've found an expression for the individual terms t_n and T_n but I'm not sure how it's useful and you've probably figured that out already
I'm playing geometry dash
i tried using tn * Tn = 1
and wrote the lim in terms of that relation
this implies 4 things
tn = Tn = 1
or
tn = Tn = -1
or
tn = 1/Tn
or Tn = 1/tn
💀
Send it damnn
i think its actually 1/4
i got 1/4 before but since he said his notebook said 1
Yeah I'm getting 1/4 as well now
what function did you get?
Tr = (n+1) (n+2) (n+3)
yeah
anyone curious of seeing how i got 1 ?:)))
Yea me
Lemme try to get the answer key from another student
If there's something wrong in mine
can i dm you?
@normal glade Has your question been resolved?
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I need help
what did you try
I tried to find the the radius then count the area
But failed
Rn i have no clue how do it
U could just substract the area of the quarter circle from the entire circle, couldn't u?
How do i find the area of the quarter?
yes
it should be 420 - (1/4 * 420)
the quarter circle is one forth of the entire circle
Not just 1/4 which is approximately 0.25

bro is trying to help u =.=
and he is not harsh at all
for this type of question u can try to form equation with the sentence
imagine using calculator
chill 😭
not everyone can do mental calculation (untrained)
Bruh dividing 420 by 4 and multiplying by three, damn mental calc bruh wtf
for you
its so hard to just multiply and divide just visualising
it is basic but do chill
bruh
nah the people nowadays scroll social media 26 hours a day what do u expect
but still is that guy closing or not
im 17 and i admit it
jesus
@timid silo
close channel
u din close it properly
it will time out if we stopped talking
u cant
😭 ok
bruh, ppl do this in 1 and 2 grade ig
.
but i think u learn this level of math at primary school right 😭
welp lets shut up before we get warned
yes
let's just not judge otherrs, shall we @robust bloom?
u could multiply by 3/4 💀
Obviously
I thought that'd be hard to visualize for someone
So I took the other way around for better understanding 
@timid silo Remember to close the channel
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So in a book I found 8 axioms for vector spaces. Do I have to show each axiom for this specific set V and then I have proven that set V is a vector space or what am I supposed to do here?
yes show all axioms
ok thank you for clarification this seemed to simple for me so I wanted to ask
have a great day!
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help
help
!1c
Please stick to your channel.
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is there anyone who knows how to solve this kind of questions?
@willow depot Has your question been resolved?
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how to make it diagonally (45 degree)with wave as it is this function? please tag me
x+sin(x) maybe
thank you
@tender portal Has your question been resolved?
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This is the equation for the Fourier equation the boundary conditions for X and X’ are 0.
And I have to use this particular equation to solve for this problem
Find the temperature 𝑢 (𝑥,𝑡) at any point of the metal rod of
length 25 cm, that is insulated on the ends as well as on the
sides and whose initial temperature distribution is 𝑢 (𝑥, 0) = 𝑥, for 0 < 𝑥 < 25
Right?
Am i not using the general equation with the sin function because of this statement: "insulated on the ends as well as on the sides"
@loud shell Has your question been resolved?
need help ;-;
@loud shell Has your question been resolved?
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I’m not sure how we obtain the highlighted line
just use gamma = x in the contrapositive of the previous sentence
not sure why they used gamma in that sentence, tbh
ah thank you!
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can you solve this system of equations
Where is this problem from?
I don't know how to solve this
,tex .log rules
riemann
You'll probably need the base change one
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You have organized a lottery to raise funds for the charity organization where you work. You sold 5,000 tickets for $20 each. There is one grand prize of $25,000, 20 first-place prizes of $1,000, 50 second-place prizes of $600, 100 third-place prizes of $300, and 400 fourth-place prizes of $150. The remaining tickets receive no prize.
What is the expected value of a randomly selected lottery ticket?
Please help if you know.
What step are you on?
1. I don't know where to begin.
2. I have begun but got stuck midway.
3. I got an answer but I was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
!show
Show your work, and if possible, explain where you are stuck.
1/5000 * 25000 + 20/5000 * 1000 + 50/ 5000 * 600 + 100 / 5000 * 300 + 400/5000 * 150 = 33 dollars
But i think something wrong
almost right
you need to subtract the cost of the ticket
So, if you win, you win (prize - ticket price)
and if you don't, you just pay the ticket price
,w 1/5000 * 25000 + 20/5000 * 1000 + 50/ 5000 * 600 + 100 / 5000 * 300 + 400/5000 * 150 - 20
Maybe test is wrong(
Thanks.
what are the possible answers?
9.5
13.5
15
20
That's odd
yw
@sweet mason Has your question been resolved?
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This is more of a understanding question but the task is to "show". Is this considered showing the cancellation laws for rings?
yes
your proof looks fine and yes, this is showing the cancellation law holds under the given conditions
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<@&286206848099549185>
Oh sorry 😂
then ping helpers if u don’t get an answer
Send the question!!
use a graphing calculator
it should have the linear regression function
if u go to stat
and make a list in the edit menu
they make u do it by hand?
Yup
Kinda shit right ?
And this is extra credit for my final
I only have 13 questions left and I have 0 idea how to do any of the@
yes that’s awful
calculate the averages of each column
you’ll need that
the slope is like r *sy/sx
Dude I have no idea what to do
no way they make u calculate the standard deviation by hand
😭😭😭
u know how long that would take?
I get your trying to help but I was in an accident that threw me out of school for quarter 2
So I have no idea of anything
I was honestly going to pay a friend to do it for me
if u don’t have to show work
I don’t have to show work
i gotchu
Just fill in the boxes
Do I owe you anything ?
I don’t mind
There’s only 13 questions left 😂 and I’m screwed if they aren’t done by 8am
That’s the equation?
It says wrong
😳
9.4 is wrong?
Yeah
It’s making me do a whole new one
2018 is final answer ?
That was right
ok good
Since this is gonna take longer do you wanna call if that would make it easier
do u not have a calculator
yea u need the ti84
Yep
wait
Dude your helping me greatly dude
yea no worries
Well it’s turned off for the assignment
oh fr!
She disabled it
?
🥲
wack
Well it’s what happens when you get a booty ass teacher 🤣
I’m at a tech school and this is what she got us learning
What to change ?
or no the equation is fine
Okay okay had me worried
ok 20.6+0.7x
then 33
yea i got my own work to do i jsuy feel bad because u don’t have a calculator
if u want
i can help u out later at night
i gotta write an essay
english is wack
Alr here 1 sec
There is one more of these and a few more of the other ones it shouldn’t be more than like 15 minutes
If you wanna stick it out rq ?
few more of what
799.80+31.00x
idk if she wants the zeros or not but whatever that’s to the hundredths place technically
2022
lol
what
they’re all easy questuons
it’s just tedious
Yeah I know especially without a calculator 😐
y=-0.58x^2+19.81x-86.45
How do I put this I. ?
same way i did
yea
y=(401.8)(x^1.6)
idk if the exponent being inside or outside matters
hopefully not
Wait how exactly do I put that in
i’d put it like this actually
(401.8)(x)^1.6
same way u did before just the x and the constant term switched basically
in this case the constant term is 1.6
Yeah then I’m done fully
hurry up then
(3137.011)(x)^1.595
(7336.227)(x)^1.608
(107.1)(1.1)^x
Wdym ?
like
Like 166.39x
yes
-0.1x^2+6.4x-50.2
Last one
Again man your awesome dude you literally saved me from not doing my extra credit
And saved my exam grade 👍👍👍
-3.658x^2+102.933x-341.829
thanks
ur welcome
is there one more
Nah dude your good
it says 9/10
Thanks man
u too
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I’m confused did I already set this up wrong
I can’t go any further lol
wym
yeah i think that's basically it
well, you might want to pad with zeros
like x^4 + 0x^3 + 2x^2 + 8x + 5 for your divisor
and then all the terms should line up nicely again
that too
u kept the x^2 term underneath the x^3 term
and the following after that messes it up
Hm okay
yeah dont forget to include the powers of x with coefficients of zero. you need to put them in. like you have have to write in 0x^3 into the divisor as well for example so that long division works. of course, you dont have to put it in when writing out the dividend or disviisor in some regular situation
yes
How do I know when I’m done with long division again?
I know it has something to do with the degree being lower than something else
deg(remainder) < deg(divisor)
there is a bit of doublespeak in what "remainder" might mean coming from you
the equation for euclidean division of polynomials can be either:
f(x) = g(x)*q(x) + r(x)
with r(x) as the remainder
or
f(x)/g(x) = q(x) + r(x)/g(x)
with r(x)/g(x) as the "remainder"
note that in the integers, when you divide 30 by 7, you would say that the remainder is 2 and not 2/7
that is one of the standard ways to compute partial fractions
expand and then compare coefficients
because I’m not trying to solve a systems of equations with this (I’d like to avoid it if possible)
well good luck avoiding it
I mean I have a general idea of how
The other PFD integrals I could easily solve using a different method
Of choosing certain values of x to make for example A or B disappear and then solving for either A or B depending on what I chose
has always worked so far but we’ll see I guess 
I see
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so 3/ (square root 5x) - 3
i did try to rationalize and got 5x - 3(square root 5x) - 3(square root 5x) + 9
that doesnt seem right, cuz i wanted to get rid of the square root
$\frac{3}{\sqrt{5x}-3}$
Lorentz
This your q?
yup
Show your work. Fully.
when rationalising stuff like this, you'd want to use
conjugates, applying the difference of two squares identity
I multiplies both num and dem by (square root 5x) - 3
which is why it didn't work
Do it + 3 instead
[
\f c{a\pm b} \c b{\cd \f{a\mp b}{a\mp b}} = \f{c(a\mp b)}{a^2 - b^2}
]
is the general procedure, as an fyi
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Np
dont forget @high lily smh
mb @high lily thx
...mb
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hello, i made this question yesterday, but still couldn't get to understand the equation, I was trying to understand how the 2 divisions circled in blue ended as 1/1, i was told that they factor out, but i don't understand how they do so, the one circled in green shows that the division doesn't end in a 1/1, since 2^98/2^99=2^0 which is 1, and 2^1 which is 2, so how did they blue divisions ended as a 1/1? i don't get it, can anyone walk me through it?
circled in BLUE?
they didn't do any cancellation to the terms that you put in blue...
factoring out:
pq + pr + ps = p(q +r + s)
p was factored out, which in your case is 2^98 for the numerator
and 2^99 for the denominator
$\gray{1} \cdot \red{2^{98}} + \blue{2^2} \cdot \red{2^{98}} - \violet{2^4} \cdot \red{2^{98}} = \red{2^{98}}(\gray{1} + \blue{2^2} - \violet{2^4})$
ℝαμΩℕωⅤ
the above shows what is happening in the factorisation process for the numerator
i see what they did, but i don't understand how they can get the result of 1 out of it; Did they divided both 2^98's by each other? what calculus did they did between the 2(2^98's) that resulted in 1?
ℝαμΩℕωⅤ
it's 1
but there is 3 2^98's you can't just remove the other 2 can you?
pq+pr+ps?
yes
and factorisation is the process of going from stuff like
pq + pr + ps
back to
p(q +r + s)
p was factored out here, the same was done with the 2^98 above (coded in red)
oh i think i see, so it was like, wait...it's because the 2^98 is multiplying the 2^2 and the -2^4, so they just retracted or factored to represent anew? they just rewrote that bit they didn't really solved anything in that part just yet, that's what happened...?
not sure i phrased it very clearly
but i think i get it
all that can be summarisesd as factorisation
but yeh, that's what factoring does
takes out the common product and expresses the sum as a product
i just don't understand how to know that was the right way to do the calculus, i just went straight to division, but i thank you a lot for the explanation, i was having a hard time figuring this out.
you could divided numerator and denominator directly by 2^98 directly if you wanted without explicitly factoring
result will be the same, skips a step too
ok, i did the calculus and could understand it, so this one is closed, thanks again.
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If you have a right-angled triangle and you need to find the delta. The hypothoses is 7 and adjecent side is 3 and you solve delta with cos like normal can you also use pythagoras to get the opposite side and then do like sin(0)=_/58 ÷ 7
you need to fix your values though
you didn't apply pythagoras properly
how are you getting sqrt(58)
!original
Please show the original problem, exactly as it was stated to you, with the entire original context. A picture or screenshot is best. If the original problem is not in English, then post it anyway! The additional context might still be helpful. Do your best to provide a translation.
also
- don't write theta as zero
- don't write square root as
_/ - don't write division as ÷
@timid silo Has your question been resolved?
@timid silo show us the problem as it was originally stated please
then tell us what you're doing in a way we can understand
maybe a diagram
right now i personally don't understand what you're going for at all
From what you said, you didn't use the pythagorean theorem properly.
[3^2 + x^2 = 7^2]
Pure
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i need help finding x and y
i think i sort of understand the first one but the second one im not sure about
@hybrid glade Has your question been resolved?
What grade are you in?
what do the interior angles of a quadrilateral add up to?
9
Ok
find x in fig b by asp of quad
assuming the lamp posts are parallel
angle y will form corresponding interior angles
with angle 40+75
oh so 65°
cause it's a z right
like this
cause don't u do 40+75 = 115
and then 180-115
quadrilateral angles add to 360
@hybrid glade
@hybrid glade Has your question been resolved?
@hybrid glade
yes?
use angle sum property of quadrilateral
all angles in a quad add up to 360 deg
ohh so I do 75+80+95 = 250 and then 360-250 =110
so x is 110?
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Hell
all q?
you can cut the shape into 2 shapes
Find area of each individual rectangles
and add them up
its already done
Is that for area
yes
perim is just all of the side lengths added
for the perimeter
add all the numbers together
it doesnt matter what order you do it in
do the perimeter first
how did you get that?
OH
Yeah ik but u said I need I to do perimeter first so imma add them
you need to add that line too
well i shouldve said
first u need to solve every unknown line
Oh so I do 7.9 plus 5.3
then add all the lines together
@timid silo what grade are you in?
I’m in year 10 😭
Maths in trying to get better
I’m
I’m in set 2
1 in higher
Is
10
age?
15
wtf
This is just tuition homework I’m struggling on this only
I believe you are lying
this is a perimeter trick
25.7?
12.5 + 13.2 ?
you need to add both twice
Alr
12.5 + 12.5 + 13.2 + 13.2
12.5+12.5+13.2+13.2=51.4
Yes i understand
Because the shape has the same number on each sides
yeah. i didnt change any of the line lengths only changed where they are
correct
thats the perimeter
51.4?
because its all side lengths added together its the perimeter
for the area split the shape into 2 rectangles (which u or ur teacher has already done)
Alr thank you
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